LCM of 414, 473, 625, 495, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 473, 625, 495, 454 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 414, 473, 625, 495, 454. So, keep reading to learn more.
Given numbers are 414,473,625,495,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,473,625,495,454 is 27782246250.
Find LCM of 414,473,625,495,454 with Prime Factorization
| 2 | 414, 473, 625, 495, 454 |
| 3 | 207, 473, 625, 495, 227 |
| 3 | 69, 473, 625, 165, 227 |
| 5 | 23, 473, 625, 55, 227 |
| 11 | 23, 473, 125, 11, 227 |
| 23, 43, 125, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 23 x 43 x 125 x 1 x 227 = 27782246250
Therefore, the lowest common multiple of 414,473,625,495,454 is 27782246250.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
414 x 473 x 625 x 495 x 454 = 27504423787500
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
473 : 1, 11, 43, 473
625 : 1, 5, 25, 125, 625
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,473,625,495,454, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
473:11x 43
625:5x 5x 5x 5
495:3x 3x 5x 11
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 11 = 990
Therefore, the value for common factors is 990.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 27504423787500/(1x990)
LCM = 27504423787500/990
LCM = 27782246250
Thus, we can understand that the LCM of 414,473,625,495,454 is 27782246250.
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FAQs on LCM of 414, 473, 625, 495, 454
1. What is the LCM of 414, 473, 625, 495, 454?
Answer: LCM of 414, 473, 625, 495, 454 is 27782246250.
2. How to calculate the LCM of 414, 473, 625, 495, 454?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 414, 473, 625, 495, 454.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.